8th Class Mathematics Percentage Question Bank Percentage, Profit and Loss

  • question_answer 22) A man sells an article at a profit of 20%. If he had bought it at 20% less and sold for Rs. 5 less, he would have gained 25%. Find the cost price of the article.

    A)  Rs. 15                         

    B)  Rs. 20          

    C)  Rs. 25  

    D)  Rs. 35

    Correct Answer: C

    Solution :

    (c): Let C.P =x \[\therefore S.P=1.2x\] Bought at 20% less \[C.\text{ }P.\Rightarrow C.P.'=0.8x\] Sold at\[\left( 1.25x-5 \right)\] \[\Rightarrow Gain=\frac{\left( 1.2x-5 \right)-0.8x}{0.8x}\times 100%=25%\] \[\Rightarrow \frac{0.4x-5}{0.8x}=\frac{1}{4}\] \[\Rightarrow 1.6x-20=0.8x\] \[\Rightarrow 0.8x=20\] \[\Rightarrow 1x=25/-\]   

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